Mixed Commuting Varieties over Nilpotent Matrices

Acta Mathematica Vietnamica ◽

10.1007/s40306-021-00457-8 ◽

2021 ◽

Author(s):

Jerry Magana ◽

Nham V. Ngo

Keyword(s):

Nilpotent Matrices

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On varieties of commuting nilpotent matrices

Linear Algebra and its Applications ◽

10.1016/j.laa.2014.03.032 ◽

2014 ◽

Vol 452 ◽

pp. 237-262 ◽

Cited By ~ 6

Author(s):

Nham V. Ngo ◽

Klemen Šivic

Keyword(s):

Nilpotent Matrices ◽

Commuting Nilpotent Matrices

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The Defining Ideals of Conjugacy Classes of Nilpotent Matrices and a Conjecture of Weyman

International Mathematics Research Notices ◽

10.1093/imrn/rnn117 ◽

2008 ◽

Vol 2008 ◽

Cited By ~ 1

Author(s):

Riccardo Biagioli ◽

Sara Faridi ◽

Mercedes Rosas

Keyword(s):

Conjugacy Classes ◽

Nilpotent Matrices

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Jordan structures of strictly lower triangular completions of nilpotent matrices

Integral Equations and Operator Theory ◽

10.1007/bf01203918 ◽

1995 ◽

Vol 23 (4) ◽

pp. 459-471 ◽

Cited By ~ 5

Author(s):

M. Krupnik ◽

A. Leibman

Keyword(s):

Nilpotent Matrices ◽

Lower Triangular

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Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of $B$-orbits

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06530967 ◽

2013 ◽

Vol 65 (3) ◽

pp. 967-992 ◽

Cited By ~ 3

Author(s):

Lucas FRESSE

Keyword(s):

Finite Number ◽

Conjugacy Classes ◽

Nilpotent Matrices

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Nilpotent Matrices and the Jordan Canonical Form

State Space and Input-Output Linear Systems ◽

10.1007/978-1-4612-3816-4_12 ◽

1998 ◽

pp. 150-161

Author(s):

David F. Delchamps

Keyword(s):

Canonical Form ◽

Jordan Canonical Form ◽

Nilpotent Matrices

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B-Orbits of 2-Nilpotent Matrices and Generalizations

Highlights in Lie Algebraic Methods - Progress in Mathematics ◽

10.1007/978-0-8176-8274-3_6 ◽

2012 ◽

pp. 147-166 ◽

Cited By ~ 5

Author(s):

Magdalena Boos ◽

Markus Reineke

Keyword(s):

Nilpotent Matrices

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On the nilpotent matrices over -lattice

Fuzzy Sets and Systems ◽

10.1016/s0165-0114(98)00270-x ◽

2001 ◽

Vol 117 (3) ◽

pp. 403-406 ◽

Cited By ~ 10

Author(s):

Kun-Lun Zhang

Keyword(s):

Nilpotent Matrices

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On Nilpotent Matrices over Bounded Distributive Lattice

2009 Second International Symposium on Intelligent Information Technology and Security Informatics ◽

10.1109/iitsi.2009.18 ◽

2009 ◽

Author(s):

Li-Xia Song

Keyword(s):

Distributive Lattice ◽

Bounded Distributive Lattice ◽

Nilpotent Matrices

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ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES

Journal of the Australian Mathematical Society ◽

10.1017/s1446788708000608 ◽

2009 ◽

Vol 86 (1) ◽

pp. 1-15 ◽

Cited By ~ 15

Author(s):

JONATHAN BROWN ◽

JONATHAN BRUNDAN

Keyword(s):

Lie Algebra ◽

Characteristic Zero ◽

Universal Enveloping Algebra ◽

General Linear ◽

Enveloping Algebra ◽

Nilpotent Matrix ◽

Nilpotent Matrices ◽

Algebra Over A Field

AbstractWe construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the general linear Lie algebra over a field of characteristic zero. In particular, this gives a new proof of the freeness of the center, a result first proved by Panyushev, Premet and Yakimova.

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Nilpotent Matrices in Jordan Decompositions

Wolfram Demonstrations Project ◽

10.3840/002558 ◽

2007 ◽

Keyword(s):

Nilpotent Matrices

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